21719172384 has 1152 divisors, whose sum is σ = 87516979200. Its totient is φ = 5173217280.

The previous prime is 21719172373. The next prime is 21719172401. The reversal of 21719172384 is 48327191712.

21719172384 is a `hidden beast` number, since 2 + 17 + 191 + 72 + 384 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 324166719 + ... + 324166785.

It is an arithmetic number, because the mean of its divisors is an integer number (75969600).

Almost surely, 2^21719172384 is an apocalyptic number.

21719172384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21719172384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43758489600).

21719172384 is an abundant number, since it is smaller than the sum of its proper divisors (65797806816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21719172384 is a wasteful number, since it uses less digits than its factorization.

21719172384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The spelling of 21719172384 in words is "twenty-one billion, seven hundred nineteen million, one hundred seventy-two thousand, three hundred eighty-four".